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<https://discovery.ucl.ac.uk/id/eprint/10122601> <http://purl.org/dc/terms/title> "Categorical vector space semantics for lambek calculus with a relevant modality (extended abstract)"^^<http://www.w3.org/2001/XMLSchema#string> .
<https://discovery.ucl.ac.uk/id/eprint/10122601> <http://purl.org/ontology/bibo/abstract> "We develop a categorical compositional distributional semantics for Lambek Calculus with a Relevant Modality, !L\r\n∗\r\n, which has a limited version of the contraction and permutation rules. The\r\ncategorical part of the semantics is a monoidal biclosed category with a coalgebra modality as defined on Differential Categories. We instantiate this category to finite dimensional vector spaces and\r\nlinear maps via “quantisation” functors and work with three concrete interpretations of the coalgebra modality. We apply the model to construct categorical and concrete semantic interpretations for\r\nthe motivating example of !L\r\n∗\r\n: the derivation of a phrase with a parasitic gap. The effectiveness of\r\nthe concrete interpretations are evaluated via a disambiguation task, on an extension of a sentence\r\ndisambiguation dataset to parasitic gap phrases, using BERT, Word2Vec, and FastText vectors and\r\nRelational tensors"^^<http://www.w3.org/2001/XMLSchema#string> .
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